Find the length of perpendicular from the origin to the plane

Given :

Equation of plane :

To Find : Length of perpendicular = d

Formulae :

1) Unit Vector :

Let be any vector

Then unit vector of is

Where,

2) Length of perpendicular :

The length of the perpendicular from the origin to the plane

is given by,

Answer :

Given equation of the plane is

Comparing above equation with

We get,

& p = 14

Therefore,

= 7

The length of the perpendicular from the origin to the given plane is